20670474240 has 768 divisors, whose sum is σ = 81234316800. Its totient is φ = 5016453120.

The previous prime is 20670474211. The next prime is 20670474257. The reversal of 20670474240 is 4247407602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20670474195 and 20670474204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291133405 + ... + 291133475.

It is an arithmetic number, because the mean of its divisors is an integer number (105773850).

Almost surely, 2^20670474240 is an apocalyptic number.

20670474240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20670474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40617158400).

20670474240 is an abundant number, since it is smaller than the sum of its proper divisors (60563842560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20670474240 is an frugal number, since it uses more digits than its factorization.

20670474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 20670474240 in words is "twenty billion, six hundred seventy million, four hundred seventy-four thousand, two hundred forty".